A Comprehensive Course in Number Theory by Alan Baker PDF

By Alan Baker

ISBN-10: 110701901X

ISBN-13: 9781107019010

ISBN-10: 110760379X

ISBN-13: 9781107603790

constructed from the author's well known textual content, A Concise advent to the speculation of Numbers, this booklet offers a finished initiation to the entire significant branches of quantity thought. starting with the rudiments of the topic, the writer proceeds to extra complicated subject matters, together with components of cryptography and primality checking out, an account of quantity fields within the classical vein together with homes in their devices, beliefs and excellent periods, points of analytic quantity idea together with reports of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, an outline of the Hardy-Littlewood and sieve equipment from respectively additive and multiplicative quantity thought and an exposition of the mathematics of elliptic curves. The booklet contains many labored examples, routines and additional studying. Its wider assurance and flexibility make this ebook appropriate for classes extending from the hassle-free to starting graduate studies.

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A Comprehensive Course in Number Theory by Alan Baker

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